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Bøker Bok 110 av 81AC and by clearing the equation of fractions we have BO=AD; that is, Of four proportional...
" AC and by clearing the equation of fractions we have BO=AD; that is, Of four proportional quantities, the product of the two extremes is equal to the product of the two means. "
First Lessons in Algebra, Embracing the Elements of the Science ... - Side 233
av Charles Davies - 1839 - 252 sider
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Astronomia Accurata: Or The Royal Astronomer and Navigator. Containing New ...

Robert Heath - 1760 - 412 sider
...Radius : Dif. Long, nearly. J Ltt. : Dif. Longitude. J Mid. Lat. : Dif. Longitude. SINCE the Produft of the two Extremes is equal to the Product of the two middle Terms, in any Proportion, therefore fubftituting in the 5th Proportion Difl. run X Sine Courfe...
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Arithmetic, Both in the Theory and Practice: Made Plain and Easy in All ...

John Hill - 1765 - 416 sider
...96 by 24 ; all being. terms equally diftant. THEOREM IV. In any geometrical progreffion whatfoever, the product of the two extremes is equal to the product of any other two immediate terms of like diftance from both. EXAMPLE. 5, 20, 80, 320, 1280, 5120. So in...
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A Synopsis of Practical Mathematics: Containing Plain Trigonometry ...

Alexander Ewing - 1799 - 328 sider
...antecedents-, and the feconct and fourth terms, 32 and 24, are confequents. In four proportional numbers, the product of the two extremes is- equal to the product of -the two means ; End. B. 6 prop. 16. ; thus^ if -1€ s• 3* • 1 12 ! 24, then 16X24=32X 12 = 384. When four quantities-are...
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The American Preceptor's Assistant: Containing a System of Practical Arithmetic

Jeremiah Paul - 1801 - 222 sider
...27, 9,3, 1, decrease by the common divisor 3. In any series of numbers, in Geometrical Progression, the product of the two extremes, is equal to the product of any two means, equally distant therefrom ; or of the product of the middle term by itself: Thus, 1,...
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The elements of natural or experimental philosophy, Volum 1

Tiberius Cavallo - 1803
...multiplied by AS. Then D is the centre of percuflion. And fmce, when four quantities are proportional, the product of the two extremes is equal to the product of the two means; therefore if the weight of A multiplied by AS, be again multiplied by AD, the product muft be equal...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811
...multiplication for addition, &c, , - 1. When 1. Wh.en four quantities are in geometrical proportion, the product of the two extremes is equal to the product of the two means. As in these, 3, 6, 4, 8, where 3x8=6 X 4 = 24; and in these, a, ar, b, br, where ax. br = ar x i, z:...
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A Course of Mathematics: For the Use of Academies as Well as ..., Volum 1

Charles Hutton - 1812
...and reason of the practice in the Rule of Three. THEOREM 2. In any continued geometrical progression, the product of the two extremes is equal to the product of any two means that are equally distant from them, or equal to the square of the middle term when there...
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Practical Arithmetic: In Four Books ... Extracted from the Large and Entire ...

John Gough - 1813 - 348 sider
...be equal to the product of the extremes. Proposition Proposition 3. In any geometrical progression the product of the two extremes, is equal to the product of any two terms equally distant from the two extremes. 3, 6, 12, 24, 48, 96, 3, 6, 12, 24, 48, 9/5, 102,...
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A Treatise on Algebra, in Practice and Theory: With Notes and Illustrations ...

John Bonnycastle - 1813
...• — • • » 2 ' 6 ' ' 3 • 9' a • b • ' с • d 9. In any continued geometrical series, the product of the two extremes is equal to the product of any two means that are equally distant from them ; or to the square of the mean, when the number of...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1814 - 303 sider
...section, so far as to admit the principle, that " when four quantities are in geometrical proportion, the product of the two extremes is equal to the product of the two means :" a principle which is at the foundation of the Rule of Three in arithmetic. See Webber's Arithmetic....
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